Answer:
Solve for a
a12−3(a−1)=11+a
Write the problem as a mathematical expression.
a12−3(a−1)=11+a
Simplify each term.
a12−3a+3=11+a
Graph each side of the equation. The solution is the x-value of the point of intersection.
a≈−1.1114621,1.23792371
Step-by-step explanation:
Answer:
Length of Chord QS = 33
Step-by-step explanation:
<u>Length of Chord QS</u>:
QW X WS = PW = WR
12(4x + 1) = 14(3x + 3)
48x + 12 = 42x + 42
48x - 42x = 42 - 12
6x = 30
x =
= 5
∴ Length of Chord QS = 12 + 4(5) + 1 = 13 + 20 = 33
The intersecting chords theorem or just The chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal. Each chord is cut into two segments at the point of where they intersect. One chord is cut into two line segments A and B. The other into the segments C and D. This theorem states that A×B is always equal to C×D no matter where the chords are.
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Explanation:</h2><h2>
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Here we know that Margie is standing on a bridge looking at the river. She throws a rock over the bridge with an initial velocity of 60 ft/sec. The height, h, of the rock at the rime t seconds after it was thrown can be modeled by the equation:

To calculate how long will it take for the rock to reach the surface of the water, we need to set
. So:

Given that time can't be negative, we just choose the positive value. Therefore, <em>it will take 4.70 seconds for the rock to reach the surface water.</em>
Answer:
The answer is
<h2>

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Step-by-step explanation:
The distance between two points can be found by using the formula
<h3>

</h3>
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(9,-8) and (-7,-5)
The distance between them is

We have the final answer as

Hope this helps you